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Finding the Third Proportional to 147,444.75 and 346,605.75

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Solution

The third proportional to 147,444.75 and 346,605.75 is: 814,783.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,444.75 : 346,605.75 = 346,605.75 : x
  2. Step 2: Convert to fraction form
    147,444.75/346,605.75 = 346,605.75/x
  3. Step 3: Cross multiply
    147,444.75x = 346,605.75 × 346,605.75
  4. Step 4: Simplify right side
    147,444.75x = 120,135,545,933.06
  5. Step 5: Solve for x
    x = 120,135,545,933.06/147,444.75
  6. Step 6: Final answer
    x = 814,783.48

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.